On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons

Details On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons

2011-09-13

arxiv.org/abs/1109.2838v2

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 1 figure; v2: typos corrected, references added

Scientific paper

We investigate the thermodynamical properties of solutions to the 5D Einstein and Einstein-Maxwell-dilaton equations describing static black holes on ALF gravitational instantons. Some general expressions regarding the nut charge and potential are derived, as well as Smarr-like relations. The thermodynamics of two particular solutions representing a static black hole on Taub-Nut and Taub-Bolt instantons are examined in detail. Two dierent approaches for computation of the mass and the tension - the Komar and counterterm method, are applied and compared. A new charged black hole on Taub-Bolt instanton is constructed and investigated.

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